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Finding the Fourth Proportional to 213,008.94, 293,952 and 116,212.80

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Solution

The fourth proportional to 213,008.94, 293,952 and 116,212.80 is: 160,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,008.94 : 293,952 = 116,212.80 : x
  2. Step 2: Convert to fraction form
    213,008.94/293,952 = 116,212.80/x
  3. Step 3: Cross multiply
    213,008.94x = 293,952 × 116,212.80
  4. Step 4: Simplify right side
    213,008.94x = 34,160,984,985.60
  5. Step 5: Solve for x
    x = 34,160,984,985.60/213,008.94
  6. Step 6: Final answer
    x = 160,373.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.